Compactified Picard stacks over the moduli stack of stable curves with marked points

Abstract

In this paper we give a construction of algebraic (Artin) stacks endowed with a modular map onto the moduli stack of n-pointed stable curves of genus g, for g greater than 2. These stacks are smooth, irreducible and have dimension 4g-3+n, yielding a geometrically meaningful compactification of the degree d universal Picard stack over the moduli stack of smooth curves with marked points.

Part of the author's Ph.D. thesis

References in corpus (3)

• Three questions in Gromov-Witten theory
• Algebraic structures on the topology of moduli spaces of curves and maps
• Compactified Picard stacks over ${\bar{\mathcal{M}}}_g$